8th term of 24,20,50/3

Solution :

Number      Values (X)       [tex]$\sum (X_i - \bar X)^2$[/tex]

    1               121.5            193494.4144

   2               138.9            178489.3504

   3                155.7    164576.2624

   4           172            151616.7844    

   5               172.9            150916.7104

  6              196.5             133137.4144

   7              202.3            128938.4464

  8              202.7            128651.3424

  9              334.5            51474.5344

  10               504            3292.4644

   11              563.7              5.3824

   12       574.1              161.7984

   13                935           139591.9044

  14              952.6        153053.0884

   15     3194.3           6932267.726

Total             8420.7         8509667.624

Mean [tex]$\bar X = \sum \frac{X_i}{n}$[/tex]

              [tex]$=\frac{8420.7}{15}$[/tex]

              = 561.38

Median :

[tex]$Q_2 = \left(\frac{1}{2}n+\frac{1}{2}\right)^{th}$[/tex]value

     [tex]$ = \left(\frac{1}{2}\times 15+\frac{1}{2}\right)^{th}$[/tex]value

    = 202.7

Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex]  value

                 = [tex]$\left(\frac{50}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value

                 = 202.7

Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex]  value

                 = [tex]$\left(\frac{40}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value

                 = 198.82

Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex]  value

                 = [tex]$\left(\frac{90}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value

                 = 1849.28

[tex]$Q_1 = \left(\frac{1}{4}n+\frac{1}{4}\right)^{th}$[/tex]value

     [tex]$ = \left(\frac{1}{4}\times 15+\frac{1}{4}\right)^{th}$[/tex]value

    = 172

[tex]$Q_3 = \left(\frac{3}{4}n+\frac{3}{4}\right)^{th}$[/tex]value

     [tex]$ = \left(\frac{3}{4}\times 15+\frac{3}{4}\right)^{th}$[/tex]value

    = 574.1

Therefore, the range = highest value - lowest value

                                  = 3194.3 - 121.5

                                  = 3072.8

Now the interquartile range = [tex]$Q_3-Q_1$[/tex]

                                              = 574.1 - 172

                                             = 402.1

Answer:

x = 5.4

Step-by-step explanation:

3/x = 4/7.2

cross-multiply:

4x = 21.6

x = 5.4

Answer:

The length of Louis's basement is 85 feet.

Step-by-step explanation:

The area of the basement, A = 4,335 square feet

The width of the basement is  3/5 its length.

Let length be l.

Width = (3/5)l

The area of the basement is given by :

[tex]A=l\times b\\\\4,335 =l\times \dfrac{3}{5}l\\\\4,335 =\dfrac{3}{5}l^2\\\\l^2=\dfrac{4,335 \times 5}{3}\\\\l=\sqrt{\dfrac{4335\times5}{3}}\\\\l=85\ ft[/tex]

So, the length of Louis's basement is 85 feet.

Answer:

-107

Step-by-step explanation:

x4-5^3+ 3^2-2x + 7

2x−109/x−1

1   2   −109

    2

second step

1   2                    -109

                    1 * 2 = 2

    2 (-109) + 2 = -107

Coefficients are 2, and -107

Therefore the quotient is 2 and the remainder is -107

Answer:

500 grams

Step-by-step explanation:

2.5 kg = 5 loaves

1 loaf = 2.5/5 = 0.5 kg

0.5 kg = 500 grams

Answer:

75%

Step-by-step explanation:

First find the number of boys.

80 - 20 = 60

Now find the percentage my taking the number of boys upon the total, times that by 100 which gives the percentage.

[tex]\frac{60}{80}[/tex] × 100 = 75%

Answer:

The two triangles formed are also similar to each other. The measure of the altitude drawn from the vertex of the right angle to the hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

Step-by-step explanation:

Answer:

its 56

Step-by-step explanation

50% × x = 28 or, 50 100

× x = 28

Multiplying both sides by 100 and dividing both sides by 50,

we have x = 28 ×

100

50

x = 56

If you are using a calculator, simply enter 28×100÷50, which will give you the answer.

Answer:

Tris-HCl (0.5M Tris Base, pH7.6):

Trizma Base ---------------------------------- 61 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl

Store this solution at room temperature. Dilute 1:10 with distilled water before use

and adjust pH if necessary.

20X Tris-HCl (1M Tris Base, pH7.6):

Trizma Base ---------------------------------- 122 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl

Store this solution at room temperature. Dilute 1:20 with distilled water before use

and adjust pH if necessary.

10X Tris-HCl-Tween 20 (0.5M Tris Base, 0.5% Tween 20, pH7.6):

Trizma Base ---------------------------------- 61 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl and then add 5 ml of Tween 20.

Store this solution at room temperature. Dilute 1:10 with distilled water before use

and adjust pH if necessary.

Note: Tris-HCl Buffer is used for specific cases of immunohistochemical staining.

*** OR you can use Tris Base to make Tr

Answer:

5.6

Step-by-step explanation:

First five prime numbers are 2, 3, 5, 7 and 11. The mean or the average formula is = Sum/number of items = (2 + 3 + 5 + 7 +11)/5 = 5.6

Answer:

B) (4/9 x 20)-3

Answer: 252

Step-by-step explanation:

You just multiply 84 by two and then ad another 84.

Answer:

-8

Step-by-step explanation:

The final temperature was -18 °F if it decreased by 5 degrees.

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

The temperature was -13 °F and then dropped 5 degrees.

As per the question, we have data as follows:

The initial temperature = -13 °F

The changed temperature = -5 °F (negative sign indicates temp dropped)

Final temperature = initial temperature + changed temperature

Final temperature = -13 °F + (-5 °F)

Final temperature = -13 °F - 5 °F

Apply the addition operation, and we get

Final temperature = -18 °F

Therefore, the final temperature was -18 °F.

Learn more about Addition operations here:

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Answer:

12

Step-by-step explanation:

For these problems you should use the pythagorean theorem: a^2+b^2=c^2

In this case, 13=c and 5=a

so:

5^2+x^2=13^2

25+x^2=169

subtract 25 from both sides

x^2=144

√144=12

missing side=12

Answer:

Assuming the question is about the area of the "house" it's 70.

Step-by-step explanation:

The triangle's height is 18 - 10 = 8

The area of the rectangle is 5 * 10 = 50

The area of the triangle is 5 * 8 / 2 = 20

The total area is 50 + 20 = 70

Answer:

Step-by-step explanation:

x = 100° ( being vertically opposite angles )

hope it helps :)

Answer:

I don't know if you need help, but the answer to the question in the picture is indeed A. :)

Answer:

[tex]\huge\boxed{x=-\dfrac{44}{3}=-14\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]-2x-117=10x+59\qquad|\text{add 177 to both sides and subtract}\ 10x\ \text{from both sides}\\\\-2x-10x-117+117=10x-10x+59+117\\\\-12x=176\qquad|\text{divide both sides by (-12)}\\\\\dfrac{-12x}{-12}=\dfrac{176}{-12}\\\\x=-\dfrac{176:4}{12:4}\\\\x=-\dfrac{44}{3}[/tex]

Step-by-step explanation:

<A + < B = 90° { being complementary angles)

2x + 10° + 3x + 15° = 90°

5x = 90° - 15° - 10°

5x = 65°

x = 13°

Now

<B = 3x + 15° = 3 *13° + 15° = 54°

Hope it will help :)

Answer:

Step-by-step explanation:

Answer:

Identifying at least one confounding variable that undermines the conclusion drawn in the fictional study is:

All students took the same comprehensive test.

Step-by-step explanation:

In a study, an independent variable causes an effect on the dependent variable. But a confounding variable is the variable that influences the independent variable as well as the dependent variable.  If this third variable is not controlled, it might lead the researcher to make a wrong estimate of the relationship that exists between the independent variable and the dependent variable.

Answer:

Write in slope-intercept form,

y =mx+bxy=4x+6

Step-by-step explanation:

Answer:

y=2x+5

Step-by-step explanation

Replied to your comment lol

The scale factor is 4.

Important information:

From the given figure it is clear that:

DG = 2

D'G' = 8

The scale factor is:

[tex]k=\dfrac{D'G'}{DG}[/tex]

[tex]k=\dfrac{8}{2}[/tex]

[tex]k=4[/tex]

Therefore, the scale factor is 4.

Find out more about 'Scale factor' here:

https://brainly.com/question/19896181

Answer:

12 ×$0.75 =$8.00

3.75 ÷ 5 = $1.33 a pound,

$1.33 × 12 = $15.96 so store A is offering the best rate.

It is found that Store B is offering the best unit rate for the bananas.

There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.

Given that Grocery Store A is selling bananas 1/2 pound for $0.75 .

Grocery Store B is selling 5 pounds of bananas for $3.75.

According to the question,

Store A is selling bananas 1/2 pound for $0.75 .

Therefore,

For one pound will be;

= 0.75/0.5

= 1.5

And store B is selling 5 pounds of bananas for; $3.75

Therefore,

One pound will cost;

3.75/ 5 = 0.75

Hence, Store B is offering the best unit rate for the bananas.

To know more about the Division click the link given below.

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Answer:

1. Mean = 55.8

Median = 23

Mode = None

2. Mean = 2.1

Median = 1.4

Mode 0.5

3. Mean = 4.5

Median = 4.5

Mode = 1,4, 5, 8

4. Mean 68

Median 58

Mode = 0

Step-by-step explanation:

Mean = 17 + 25 + 23 + 200 + 14 / 5 = 279/5 = 55.8

Median= Because its odd you put them in order 17, 14, 23, 25, 200 = 23 because it is the middle number. Mode = None

2. Mean = 0.5 + 1.4 + 3.0 + 7.0 + 0.5 +1.8 + 0.5 = 14.7 = 14.7/7 = 2.1

Median = because it is odd you put them in order 0.5, 0.5, 0.5, 1.4, 1.8, 3.0, 7.0 = 1.4 The mode is 0.5 because it repeats three times

3. Mean = 1 + 8 + 5 + 4 + 1 + 8 + 5 + 4 = 36/8 =4.5

Median = Because its even you divide by the two middle numbers = 1, 1, 4,4, 5, 5 , 8 , 8 = 4+5 = 9/2 = 4.5 Mode = 1, 4, 5, and 8 are the numbers that are repeated most often.

Mean = 0+78+99+58+65+0+47+38+227 = 68 Median, Because there is an odd number you get the odd number from the middle. 0, 0, 38, 47, 58, 65, 78, 99, 227 = 58 Mode = 0 because it repeats more often.

Sorry I kept commenting I'm new to this platform!

Answer:

triangle: 5x-8

square: 4x+8

Step-by-step explanation:

triangle: 2x + 2x + x -8

combine like terms

= 5x-8

square: x + 2 + x + 2 + x + 2 + x +2

combine like terms

= 4x + 8

1.5 im sorrry again if im wrong:(

Step-by-step explanation:

im sorry if i am wrong

Answer:

178.64 square cm

Step-by-step explanation:

5.8 x 8.8 x 2 = 102.08

8.8 x 8.7 = 76.56

76.56 + 102.08 =

178.64

Hope that helps!

Answer:

24

Step-by-step explanation:

1st u do the inverse which is 15+9=24

24-15=9